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Finding the Third Proportional to 100,180,660 and 153,250,426

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Solution

The third proportional to 100,180,660 and 153,250,426 is: 234,433,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,180,660 : 153,250,426 = 153,250,426 : x
  2. Step 2: Convert to fraction form
    100,180,660/153,250,426 = 153,250,426/x
  3. Step 3: Cross multiply
    100,180,660x = 153,250,426 × 153,250,426
  4. Step 4: Simplify right side
    100,180,660x = 23,485,693,069,181,476
  5. Step 5: Solve for x
    x = 23,485,693,069,181,476/100,180,660
  6. Step 6: Final answer
    x = 234,433,403.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.